[tex]3x^2-5x-4=0
x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:3\left(-4\right)}}{2\cdot \:3}
x=\frac{5+\sqrt{73}}{6}
x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:3\left(-4\right)}}{2\cdot \:3}
x=\frac{5-\sqrt{73}}{6}
R:
x=\frac{5+\sqrt{73}}{6},
\:x=\frac{5-\sqrt{73}}{6}
[/tex]